Given that the hyperbola has a center at (0,0), and its vertices and foci are on y-axis. This, the equation of the hyperbola is of the form
x²/a²-y²/b²=-1 (a>0, b>0)
In the equation, vertices are (0, +/-b) .
Thus,
b=60
Foci (0,+/-√(a²+b²))
thus
√(a²+60²)=65
hence solving for a²
a²=65²-60²
a²=625
a²=25²
hence the equation is:
x²/25²-y²/60²=-1
Answer:
Domain, range
Step-by-step explanation:
The <u>domain</u> of a function is the complete set of inputs, whereas the <u>range</u> is the set of all outputs.
Domain= Input
Range= Output
Answer:
108 bottles
Step-by-step explanation:
the total is 4.536 oz of vitamin pills
each bottle can accomodate 0.042 oz of vitamin pills
to know the quantity of each bottle
we calculate
0.042 oz of vitamin pills = 1 bottle
4.536 oz of vitamin pills = (4.536 x 1)/0.042=108
so therefore 4.536 oz of vitamin pills will accomodate 108 bottles
Answer:
65 degrees
Step-by-step explanation:
Break the parallelogram up into two triangles. Angle E is 70 degrees and 45 degrees because of the property of equal opposite angles. So E 45 degrees Y 70 degrees and if you add the two up you get 115 degrees. There are 180 degrees in a triangle, so 180-115=65.
Yes!
- you applied the distributive property
- combined like terms
- and answered the rest right!
